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Finding the Fourth Proportional to 641.14, 960.90 and 275.83

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Solution

The fourth proportional to 641.14, 960.90 and 275.83 is: 413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.14 : 960.90 = 275.83 : x
  2. Step 2: Convert to fraction form
    641.14/960.90 = 275.83/x
  3. Step 3: Cross multiply
    641.14x = 960.90 × 275.83
  4. Step 4: Simplify right side
    641.14x = 265,045.05
  5. Step 5: Solve for x
    x = 265,045.05/641.14
  6. Step 6: Final answer
    x = 413.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.